Show all the steps to understand it by matlab , thank you.

Problem 3. Let A be a 7 by 7 matrix, with columns , , 3,..., 7. Suppose we want to find a vector p with 7 elements, such that: p= p.2 = p.73 = 7.4 = p. ; = p. 76 = p.az We also want all entries of p add to 1. Assume the matrix A is invertible, then we can choose p = 11 A-1, where the vector 1 denotes a vector of ones. With this choice, we can see that the condition (*) is satisfied. To ensure all entries of p sum to one, we modify this slightly. So instead, we let 17 A-1 p= 17 A-11 Copy and paste the accompanying MatLab code into your command window. Write down the output for p. Problem 3. Let A be a 7 by 7 matrix, with columns , , 3,..., 7. Suppose we want to find a vector p with 7 elements, such that: p= p.2 = p.73 = 7.4 = p. ; = p. 76 = p.az We also want all entries of p add to 1. Assume the matrix A is invertible, then we can choose p = 11 A-1, where the vector 1 denotes a vector of ones. With this choice, we can see that the condition (*) is satisfied. To ensure all entries of p sum to one, we modify this slightly. So instead, we let 17 A-1 p= 17 A-11 Copy and paste the accompanying MatLab code into your command window. Write down the output for p